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Finding the Fourth Proportional to 10,486.10, 14,469.62 and 6,009.60

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Solution

The fourth proportional to 10,486.10, 14,469.62 and 6,009.60 is: 8,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.10 : 14,469.62 = 6,009.60 : x
  2. Step 2: Convert to fraction form
    10,486.10/14,469.62 = 6,009.60/x
  3. Step 3: Cross multiply
    10,486.10x = 14,469.62 × 6,009.60
  4. Step 4: Simplify right side
    10,486.10x = 86,956,628.35
  5. Step 5: Solve for x
    x = 86,956,628.35/10,486.10
  6. Step 6: Final answer
    x = 8,292.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.